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Finding the Fourth Proportional to 4,796.30, 7,186.55 and 4,173

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Solution

The fourth proportional to 4,796.30, 7,186.55 and 4,173 is: 6,252.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,796.30 : 7,186.55 = 4,173 : x
  2. Step 2: Convert to fraction form
    4,796.30/7,186.55 = 4,173/x
  3. Step 3: Cross multiply
    4,796.30x = 7,186.55 × 4,173
  4. Step 4: Simplify right side
    4,796.30x = 29,989,452.29
  5. Step 5: Solve for x
    x = 29,989,452.29/4,796.30
  6. Step 6: Final answer
    x = 6,252.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.